Edit Profile (opens in new tab) Castro, Mirta M. Co-Author Distance Author ID: castro.mirta-m Published as: Castro, Mirta M.; Castro, M.; Castro Smirnova, Mirta; Smirnova, Mirta Castro; Kastro Smirnova, M.; Smirnova, M. Castro; Castro, Mirta; Castro, M. M. more...less External Links: ORCID · dblp Documents Indexed: 19 Publications since 2000, including 1 Additional arXiv Preprint Co-Authors: 8 Co-Authors with 14 Joint Publications 287 Co-Co-Authors all top 5 Co-Authors 3 single-authored 9 Grünbaum, Francisco Alberto 2 Beckermann, Bernhard 2 Durán, Antonio José 2 Zurrián, Ignacio Nahuel 1 Aptekarev, Alexander Ivanovich 1 Borrego, Jorge 1 Jiménez-Casas, Angela 1 Kaliaguine, Valeri A. 1 Pacharoni, Inés all top 5 Serials 3 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Mathematica Scandinavica 1 Constructive Approximation 1 IMRN. International Mathematics Research Notices 1 Linear Algebra and its Applications 1 Applied and Computational Harmonic Analysis 1 East Journal on Approximations 1 Integral Transforms and Special Functions 1 Doklady Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Random Matrices: Theory and Applications all top 5 Fields 8 Operator theory (47-XX) 7 Special functions (33-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Difference and functional equations (39-XX) 4 Ordinary differential equations (34-XX) 4 Sequences, series, summability (40-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13 Publications have been cited 84 times in 60 Documents Cited by ▼ Year ▼ The algebra of differential operators associated to a family of matrix-valued orthogonal polynomials: five instructive examples. Zbl 1130.33004 Castro, Mirta M.; Grünbaum, F. Alberto 18 2006 Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples. Zbl 1100.42015 Castro, Mirta M.; Grünbaum, F. Alberto 17 2005 The Darboux process and time-and-band limiting for matrix orthogonal polynomials. Zbl 1326.33013 Castro, M.; Grünbaum, F. A. 8 2015 Boundedness properties for Sobolev inner products. Zbl 1016.42013 Castro, M.; Durán, A. J. 8 2003 On the determinacy of complex Jacobi matrices. Zbl 1070.47018 Beckermann, Bernhard; Castro Smirnova, Mirta 7 2004 Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits. Zbl 1266.42065 Borrego, Jorge; Castro, Mirta; Durán, Antonio J. 6 2012 Time-and-band limiting for matrix orthogonal polynomials of Jacobi type. Zbl 1376.33010 Castro, M.; Grünbaum, F. A. 5 2017 A further look at time-and-band limiting for matrix orthogonal polynomials. Zbl 1411.33008 Castro, M.; Grünbaum, F. A.; Pacharoni, I.; Zurrián, I. 5 2018 The noncommutative bispectral problem for operators of order one. Zbl 1157.39001 Castro, Mirta M.; Grünbaum, F. Alberto 3 2008 On a seminal paper by Karlin and McGregor. Zbl 1383.60064 Castro, Mirta M.; Grünbaum, F. Alberto 3 2013 Determinacy of bounded complex perturbations of Jacobi matrices. Zbl 0974.47010 Smirnova, Mirta Castro 2 2000 Convergence of vector Stieltjes continued fractions. Zbl 1043.40005 Aptekarev, A. I.; Kastro Smirnova, M. 2 2000 Structural formulas for matrix-valued orthogonal polynomials related to \(2\times 2\) hypergeometric operators. Zbl 1491.42041 Calderón, C.; Castro, M. M. 1 2022 Structural formulas for matrix-valued orthogonal polynomials related to \(2\times 2\) hypergeometric operators. Zbl 1491.42041 Calderón, C.; Castro, M. M. 1 2022 A further look at time-and-band limiting for matrix orthogonal polynomials. Zbl 1411.33008 Castro, M.; Grünbaum, F. A.; Pacharoni, I.; Zurrián, I. 5 2018 Time-and-band limiting for matrix orthogonal polynomials of Jacobi type. Zbl 1376.33010 Castro, M.; Grünbaum, F. A. 5 2017 The Darboux process and time-and-band limiting for matrix orthogonal polynomials. Zbl 1326.33013 Castro, M.; Grünbaum, F. A. 8 2015 On a seminal paper by Karlin and McGregor. Zbl 1383.60064 Castro, Mirta M.; Grünbaum, F. Alberto 3 2013 Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits. Zbl 1266.42065 Borrego, Jorge; Castro, Mirta; Durán, Antonio J. 6 2012 The noncommutative bispectral problem for operators of order one. Zbl 1157.39001 Castro, Mirta M.; Grünbaum, F. Alberto 3 2008 The algebra of differential operators associated to a family of matrix-valued orthogonal polynomials: five instructive examples. Zbl 1130.33004 Castro, Mirta M.; Grünbaum, F. Alberto 18 2006 Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples. Zbl 1100.42015 Castro, Mirta M.; Grünbaum, F. Alberto 17 2005 On the determinacy of complex Jacobi matrices. Zbl 1070.47018 Beckermann, Bernhard; Castro Smirnova, Mirta 7 2004 Boundedness properties for Sobolev inner products. Zbl 1016.42013 Castro, M.; Durán, A. J. 8 2003 Determinacy of bounded complex perturbations of Jacobi matrices. Zbl 0974.47010 Smirnova, Mirta Castro 2 2000 Convergence of vector Stieltjes continued fractions. Zbl 1043.40005 Aptekarev, A. I.; Kastro Smirnova, M. 2 2000 all cited Publications top 5 cited Publications all top 5 Cited by 65 Authors 9 Grünbaum, Francisco Alberto 7 Mañas, Manuel 6 Durán, Antonio José 6 Rodríguez García, José Manuel 5 Castro, Mirta M. 5 Marcellán Español, Francisco 4 Zurrián, Ignacio Nahuel 3 Branquinho, Amílcar José Pinto Lopes 3 Casper, W. Riley 3 Foulquié Moreno, Ana Pilar 3 García-Ardila, Juan Carlos 3 Garza, Luis E. 2 Ariznabarreta, Gerardo 2 Beckermann, Bernhard 2 Cantero, María José 2 Derevyagin, Maxim S. 2 Dette, Holger 2 Domínguez de la Iglesia, Manuel 2 Fuentes, Edinson 2 Moral, Leandro 2 Pacharoni, Inés 2 Portilla, Ana 2 Quintana, Yamilet 2 Robert, Leonel 2 Román, Pablo Manuel 2 Santiago, Luis 2 Simondi, Sebastián 2 Touris, Eva 2 Velázquez, Luis 2 Yakimov, Milen T. 2 Zhedanov, Alexei S. 1 Álvarez-Fernández, Carlos 1 Bailey, Rachel 1 Bergvelt, Maarten J. 1 Brown, B. Malcolm 1 Cassatella-Contra, Giovanni A. 1 Colorado, Eduardo 1 Costin, Rodica D. 1 De Los Ríos, Ana M. 1 Delvaux, Steven 1 Díaz, Juan E. F. 1 Dueñas, Herbert 1 Fradi, Assil 1 Gekhtman, Mikhaèl I. 1 Kasman, Alex 1 Koelink, Erik 1 Kovalyov, Ivan Mikhailovich 1 Naboko, Serguei N. 1 Pestana, Domingo 1 Romera, Elena 1 Sánchez-Canales, Vanesa 1 Sigarreta Almira, José María 1 Štampach, František 1 Świderski, Grzegorz 1 Tirao, Juan 1 Tomecki, Dominik 1 Vasquez, Brian D. 1 Venker, Martin 1 Vinet, Luc 1 Weikard, Rudi 1 Xu, Yuan 1 Zagorodnyuk, Sergey Mihaylovich 1 Zhao, Huanxi 1 Zhu, Gongqin 1 Zubelli, Jorge P. all top 5 Cited in 34 Serials 16 Journal of Approximation Theory 5 Journal of Mathematical Analysis and Applications 4 Constructive Approximation 2 Journal of Computational and Applied Mathematics 2 Acta Applicandae Mathematicae 1 Communications in Mathematical Physics 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Advances in Mathematics 1 American Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of Applied Probability 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Studies in Applied Mathematics 1 Applied Mathematics Letters 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Expositiones Mathematicae 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Probability 1 The Ramanujan Journal 1 Mathematical Physics, Analysis and Geometry 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Function Spaces and Applications 1 Mediterranean Journal of Mathematics 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Random Matrices: Theory and Applications 1 Bulletin of Mathematical Sciences 1 Concrete Operators all top 5 Cited in 21 Fields 31 Special functions (33-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 18 Operator theory (47-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 10 Difference and functional equations (39-XX) 8 Ordinary differential equations (34-XX) 8 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 Integral transforms, operational calculus (44-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) Citations by Year